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# Solutions for Chapter 1.4: APPLICATIONS OF FUNCTIONS TO ECONOMICS

## Full solutions for Applied Calculus | 5th Edition

ISBN: 9781118174920

Solutions for Chapter 1.4: APPLICATIONS OF FUNCTIONS TO ECONOMICS

Solutions for Chapter 1.4
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##### ISBN: 9781118174920

Applied Calculus was written by and is associated to the ISBN: 9781118174920. Since 44 problems in chapter 1.4: APPLICATIONS OF FUNCTIONS TO ECONOMICS have been answered, more than 68529 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Applied Calculus, edition: 5. Chapter 1.4: APPLICATIONS OF FUNCTIONS TO ECONOMICS includes 44 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Absolute value of a real number

Denoted by |a|, represents the number a or the positive number -a if a < 0.

• Bounded

A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

• Cosine

The function y = cos x

• Demand curve

p = g(x), where x represents demand and p represents price

• Directed line segment

See Arrow.

• Direction angle of a vector

The angle that the vector makes with the positive x-axis

• Fundamental

Theorem of Algebra A polynomial function of degree has n complex zeros (counting multiplicity).

• Imaginary axis

See Complex plane.

• Independent variable

Variable representing the domain value of a function (usually x).

• Instantaneous rate of change

See Derivative at x = a.

• Linear factorization theorem

A polynomial ƒ(x) of degree n > 0 has the factorization ƒ(x) = a(x1 - z1) 1x - i z 22 Á 1x - z n where the z1 are the zeros of ƒ

• Lower bound of f

Any number b for which b < ƒ(x) for all x in the domain of ƒ

• Mapping

A function viewed as a mapping of the elements of the domain onto the elements of the range

• Midpoint (in a coordinate plane)

For the line segment with endpoints (a,b) and (c,d), (aa + c2 ,b + d2)

• Monomial function

A polynomial with exactly one term.

• Parameter interval

See Parametric equations.

• Quartic function

A degree 4 polynomial function.

• Reflection across the x-axis

x, y and (x,-y) are reflections of each other across the x-axis.

• Solution of an equation or inequality

A value of the variable (or values of the variables) for which the equation or inequality is true

• Vertical translation

A shift of a graph up or down.